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Chapter 9: Q. 9.6 (page 509)
Suppose the null hypothesis, , is: a patient is not sick. Which type of error has the greater consequence, Type or Type?
Type one error is the patient is sick which is opposite to the fact.
Type two error is the patient is not sick which is opposite to the fact.
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"Blowing Bubbles," by Sondra Prull
Studying stats just made me tense,
I had to find some sane defense.
Some light and lifting simple play
To float my math anxiety away.
Blowing bubbles lifts me high
Takes my troubles to the sky.
POIK! They're gone, with all my stress
Bubble therapy is the best.
The label said each time I blew
The average number of bubbles would be at least .
I blew and blew and this I found
Fromblows, they all are round!
But the number of bubbles inblows
Varied widely, this I know.
per blow became the mean
They deviated by , and not.
From counting bubbles, I sure did relax
But now I give to you your task.
Wasa reasonable guess?
Find the answer and pass this test!
Your friend claims that his mean golf score is 63. You want to show that it is higher than that. What type of test would
you use?
We want to test if it takes fewer than minutes to teach a lesson plan. State the null and alternative hypotheses. Fill in the correct symbol for the null and alternative hypotheses.
a.
b.
"Dalmatian Darnation," by Kathy Sparling
A greedy dog breeder named Spreckles
Bred puppies with numerous freckles
The Dalmatians he sought
Possessed spot upon spot
The more spots, he thought, the more shekels.
His competitors did not agree
That freckles would increase the fee.
They said, 鈥淪pots are quite nice
But they don't affect price;
One should breed for improved pedigree.鈥�
The breeders decided to prove
This strategy was a wrong move.
Breeding only for spots
Would wreak havoc, they thought.
His theory they want to disprove.
They proposed a contest to Spreckles
Comparing dog prices to freckles.
In records they looked up
One hundred one pups:
Dalmatians that fetched the most shekels.
They asked Mr. Spreckles to name
An average spot count he'd claim
To bring in big bucks.
Said Spreckles, 鈥淲ell, shucks,
It's for one hundred one that I aim.鈥�
Said an amateur statistician
Who wanted to help with this mission.
鈥淭wenty-one for the sample
Standard deviation's ample:
They examined one hundred and one
Dalmatians that fetched a good sum.
They counted each spot,
Mark, freckle and dot
And tallied up every one.
Instead of one hundred one spots
They averaged ninety six dots
Can they muzzle Spreckles鈥�
Obsession with freckles
Based on all the dog data they've got?
Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization
thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they
spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test.
The null and alternative hypotheses are:
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